200200101000120 has 1024 divisors, whose sum is σ = 737738668800000. Its totient is φ = 47992639242240.

The previous prime is 200200101000101. The next prime is 200200101000199. The reversal of 200200101000120 is 21000101002002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36196001755 + ... + 36196007285.

It is an arithmetic number, because the mean of its divisors is an integer number (720447918750).

Almost surely, 2^{200200101000120} is an apocalyptic number.

200200101000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368869334400000).

200200101000120 is an abundant number, since it is smaller than the sum of its proper divisors (537538567799880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200200101000120 is a wasteful number, since it uses less digits than its factorization.

200200101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200200101000120 its reverse (21000101002002), we get a palindrome (221200202002122).

The spelling of 200200101000120 in words is "two hundred trillion, two hundred billion, one hundred one million, one hundred twenty", and thus it is an aban number.